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3 years ago

the average age of teacher at school is 36 years.mr Smith age is 11/9 of the average. how old is Mr Smith?

Mathematics

1 answer:

Jobisdone [24]3 years ago

6 0

Answer: 44

Step-by-step explanation:

I'm positive this is right! Have a good day! Hope this helps! Please give brainliest, i would help a lot if you did, but its fine if you don't Just have a good rest of the day!

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Find the absolute maximum and minimum values of f(x,y)=xy−4x in the region bounded by the x-axis and the parabola y=16−x2.

skad [1K]

Answer:

The absolute maximum and minimum is $20\; \text{and} -20.$

Step-by-step explanation:

We first check the critical points on the interior of the domain using the

first derivative test.

$f_x=y-4=0$

$f_y=x=0$

The only solution to this system of equations is the point (0, 4), which lies in the domain.

$f_{xx}=0, \;f_{yy}=0\; \text{and}\; f_{xy}=-1$

$\Rightarrow f_{xx}f_{yy}-f_{xy}=o-1=-1$

$\therefore (0,4)$ is a saddle point.

Boundary points - $(4,0), (-4,0), (0,16)$

Along boundary $y=16-x^2$

$f=x(16-x^2)-4x$

$=16x-x^3-4x$

$\Rightarrow f^'=16-3x^2-4=0$

$\Rightarrow 3x^2=12$

$\Rightarrow x=\pm2,\;\;y=14$

Values of f(x) at these points.

$\begin{array}{}(4,0)=-16\\(-4,0)=16\\(0,16)=0\\(2,14)=20\\(-2,14)=-20\end{array}$

Therefore, the absolute maximum and minimum is $20\; \text{and} -20.$

6 0

3 years ago

Find the circumference of the circle.

Studentka2010 [4]

Answer:

11 $\pi$

Step-by-step explanation:

To find the circumference of a circle, the formula is:

d * $\pi$ = c

We already know the diameter, so we just plug that in:

11 * $\pi$ = c

11 $\pi$ = c

Let me know if you have any questions.

5 0

3 years ago

Can someone please help me with math.

zlopas [31]

Answer:

the answer to the questions are c,b,a

4 0

3 years ago

Meg ate 3/8 pound of blueberries. Jon ate 7/8 pound of blueberries. How many more pounds did Jon eat than

Arlecino [84]

Answer:

4/8 more pounds

Step-by-step explanation:

7/8-3/8=4/8

5 0

3 years ago

Read 2 more answers

PLEASE HELP!!! <br> If m<B=m<D=42 find m<c so that quadrilateral ABCD is a parallelogram

MissTica

The oposite angles must be equal and adjacent angles must be supplementary

so
D=B and A=C
and
A+D=180=A+B=B+C=C+D
so ifD=42, then

A+D=180
A+42=180
minus 42 both sides
A=138=C

angle C has to be 138 degrees

8 0

3 years ago

the average age of teacher at school is 36 years.mr Smith age is 11/9 of the average. how old is Mr Smith?​

the average age of teacher at school is 36 years.mr Smith age is 11/9 of the average. how old is Mr Smith?